Influence of a mortality trade-off on the spreading rate of cane toads fronts
Bouin, Emeric; Chan, Matthew H.; Henderson, Christopher; Kim, Peter S. (2017), Influence of a mortality trade-off on the spreading rate of cane toads fronts. https://basepub.dauphine.fr/handle/123456789/17205
TypeDocument de travail / Working paper
External document linkhttps://hal.archives-ouvertes.fr/hal-01451448
Series titleCahier de recherche CEREMADE, Université Paris-Dauphine
MetadataShow full item record
Abstract (EN)In this paper, we study the influence of the mortality trade-off in a nonlocal reaction-diffusion-mutation equation that we introduce to model the invasion of cane toads in Australia. This model is built off of one that has attracted attention recently, in which the population of toads is structured by a phenotypical trait that governs the spatial diffusion. We are concerned with the case when the diffusivity can take unbounded values and the mortality trade-off depends only on the trait variable. Depending on the rate of increase of the penalization term, we obtain the rate of spreading of the population. We identify two regimes, an acceleration regime when the penalization is weak and a linear spreading regime when the penalization is strong. While the development of the model comes from biological principles, the bulk of the article is dedicated to the mathematical analysis of the model, which is very technical.
Subjects / KeywordsStructured populations; reaction-diffusion equations; front acceleration
Showing items related by title and author.
Bouin, Emeric; Garnier, Jimmy; Henderson, Christopher; Patout, Florian (2018) Article accepté pour publication ou publié